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Once you apply for I-485 it all depends on Officer who is processing your case. It seems some of the officers won\'t be so particular, but some are very particular that the Birth certificate has to be from Local Authorities.
If you don\'t have any birth certificate right now then may be you can get it from Embassy and send it with 485 application. But once the officer start processing your case, he might give a RFE ( depends on officer) for birth certificate.